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1064216142 = 2321143312413
BaseRepresentation
bin111111011011101…
…010011001001110
32202011111210002200
4333123222121032
54134414404032
6253333502330
735241454653
oct7733523116
92664453080
101064216142
114a67a4380
122584a19a6
1313c6321c2
14a14a5c2a
156366847c
hex3f6ea64e

1064216142 has 48 divisors (see below), whose sum is σ = 2521432368. Its totient is φ = 321719040.

The previous prime is 1064216117. The next prime is 1064216147. The reversal of 1064216142 is 2416124601.

1064216142 is a `hidden beast` number, since 1 + 0 + 6 + 42 + 1 + 614 + 2 = 666.

It is a super-2 number, since 2×10642161422 = 2265111993786728328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064216147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79528 + ... + 91940.

It is an arithmetic number, because the mean of its divisors is an integer number (52529841).

Almost surely, 21064216142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064216142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260716184).

1064216142 is an abundant number, since it is smaller than the sum of its proper divisors (1457216226).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1064216142 is a wasteful number, since it uses less digits than its factorization.

1064216142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12865 (or 12862 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1064216142 is about 32622.3258214371. The cubic root of 1064216142 is about 1020.9628681709.

The spelling of 1064216142 in words is "one billion, sixty-four million, two hundred sixteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 433 866 1299 2598 3897 4763 7794 9526 12413 14289 24826 28578 37239 42867 74478 85734 111717 136543 223434 273086 409629 819258 1228887 2457774 5374829 10749658 16124487 32248974 48373461 59123119 96746922 118246238 177369357 354738714 532108071 1064216142